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Finding the Fourth Proportional to 5,673.84, 8,507.41 and 1,723.90

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Solution

The fourth proportional to 5,673.84, 8,507.41 and 1,723.90 is: 2,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.84 : 8,507.41 = 1,723.90 : x
  2. Step 2: Convert to fraction form
    5,673.84/8,507.41 = 1,723.90/x
  3. Step 3: Cross multiply
    5,673.84x = 8,507.41 × 1,723.90
  4. Step 4: Simplify right side
    5,673.84x = 14,665,924.10
  5. Step 5: Solve for x
    x = 14,665,924.10/5,673.84
  6. Step 6: Final answer
    x = 2,584.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.